use the distributive law to expand the following
6(y+8)
7(l+4)
8(s+7)
4(2+a)
7(x+5)
3(6+a)
9(9-x)
5(j-4)
6(y+8) = 6*y + 6*8 = 6y + 48
7(l+4) = 7*l + 7*4 = 7l + 28
8(s+7) = 8*s + 8*7 = 8s + 56
4(2+a) = 4*2 + 4*a = 8 + 4a
7(x+5) = 7*x + 7*5 = 7x + 35
3(6+a) = 3*6 + 3*a = 18 + 3a
9(9-x) = 9*9 - 9*x = 81 - 9x
5(j-4) = 5*j - 5*4 = 5j - 20
To expand the expressions using the distributive law, we distribute the number outside the parentheses to each term inside the parentheses.
1. 6(y + 8)
= 6 × y + 6 × 8
= 6y + 48
2. 7(l + 4)
= 7 × l + 7 × 4
= 7l + 28
3. 8(s + 7)
= 8 × s + 8 × 7
= 8s + 56
4. 4(2 + a)
= 4 × 2 + 4 × a
= 8 + 4a
5. 7(x + 5)
= 7 × x + 7 × 5
= 7x + 35
6. 3(6 + a)
= 3 × 6 + 3 × a
= 18 + 3a
7. 9(9 - x)
= 9 × 9 - 9 × x
= 81 - 9x
8. 5(j - 4)
= 5 × j - 5 × 4
= 5j - 20